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Finding the Third Proportional to 135,661 and 295,429.50

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Solution

The third proportional to 135,661 and 295,429.50 is: 643,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,661 : 295,429.50 = 295,429.50 : x
  2. Step 2: Convert to fraction form
    135,661/295,429.50 = 295,429.50/x
  3. Step 3: Cross multiply
    135,661x = 295,429.50 × 295,429.50
  4. Step 4: Simplify right side
    135,661x = 87,278,589,470.25
  5. Step 5: Solve for x
    x = 87,278,589,470.25/135,661
  6. Step 6: Final answer
    x = 643,358.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.